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arXiv · 2301.08123

Efficient lineshape estimation by ghost spectroscopy

Ilaria Gianani·Luis L. Sanchez Soto·Aaron Z. Goldberg·Marco Barbieri
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Abstract

Recovering the original spectral lineshapes from data obtained by instruments with extended transmission profiles is a basic tenet in spectroscopy. By using the moments of the measured lines as basic variables, we turn the problem into a linear inversion. However, when only a finite number of these moments are relevant, the rest of them act as nuisance parameters. These can be taken into account with a semiparametric model, which allows us to establish the ultimate bounds on the precision attainable in the estimation of the moments of interest. We experimentally confirm these limits with a simple ghost spectroscopy demonstration.

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Ilaria Gianani, Luis L. Sanchez Soto, Aaron Z. Goldberg, Marco Barbieri. 2023-01-19. Efficient lineshape estimation by ghost spectroscopy. https://doi.org/10.1364/ol.485451

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